Question
If ABCD is a square, the measure of 
is _____.
- 45°
- 27°
- 180°
- 63°
The correct answer is: 27°
we are given that ABCD is a square and we need to find the measure of
In a square, the lengths of all sides are equal.
So, AB = BC = CD = DA = 10 cm
In ΔBAP and ΔCDP,
AB = CD
[∵Angles of a square are equal to 90°]
AP = PD [Given]
So, ΔBAP ≌ ΔCDP
We know that corresponding parts of congruent triangles are equal.
So, 
Using the properties of square we find that the ∠PCD is 27°
Related Questions to study
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What is the value of p?
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Therefore, angle of ∠RPQ=43°.
If PQRS is a rhombus, then the value of k is _________.
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Therefore, the value of k is
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The value of p is _________.
A rhombus is a quadrilateral with 4 equal sides which make angles not equal to 90 degrees with each other.
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The value of k is _______.
The sum of the angles of a triangle is 180°.
The value of k is _______.
The sum of the angles of a triangle is 180°.
